Melanie Matchett Wood: Universal Distributions of Groups and Algebraic Objects (September 12, 2025)

The conjectural distributions for class groups of number fields from the Cohen–Lenstra–Martinet heuristics are known to be universal distributions on abelian groups. We will discuss known results and open problems on the universality of distributions of groups, including non-abelian groups, modules, and other algebraic structures that arise in arithmetic statistics. Uploaded 25-09-25 For more information go here: https://www.simonsfoundation.org/event/mps-conference-on-universal-statistics-in-number-theory/